Question

two consecutive even integers have a sum of 254. write the equation that will solve for the two integers.

Answer 1

Answer: 126 and 128

Step-by-step explanation: In this problem have two consecutive even integers whose sum is 254.

Consecutive even integers can be represented as followed.

X ⇒ first even integer

X + 2 ⇒ second even integer

Since the sum of these is 254, our equation reads X + X + 2 = 254.

We can simplify on the left side of the equation to get 2x + 2 = 254.

Now, we subtract 2 from both sides of the equation to get 2x = 252.

Lastly, we will divide both sides of the equation by 2 in order to isolate x. On the left side, the 2's cancel out and on the right, 252 divided by 2 is 126.

If our first integer is 126, our next consecutive even integer will be 126 + 128 which simplifies to 254.

Therefore, our two consecutive even integers are 126 and 128.